document.write( "Question 113241: True or false?\r
\n" ); document.write( "\n" ); document.write( "The direction of the inequality symbol must be reversed when both sides of an inequality are multiplied or divided by a positive number.\r
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Algebra.Com's Answer #82411 by bucky(2189)\"\" \"About 
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False
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\n" ); document.write( "The direction of the inequality symbol must be reversed when both sides of an inequality
\n" ); document.write( "are multiplied or divided by a NEGATIVE number.
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\n" ); document.write( "Remember this rule. It will be necessary to apply this rule in solving some inequality
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\n" ); document.write( "You can look at the rule this way: 3 is less than 5 which means that on the number line
\n" ); document.write( "3 is to the left of 5. This is written as 3 < 5
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\n" ); document.write( "Now multiply both sides by -1. The inequality then becomes:
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\n" ); document.write( "-3 < -5
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\n" ); document.write( "But this is NOT true because -3 is to the RIGHT of -5 on the number line and therefore
\n" ); document.write( "it is greater than -5. So you have to reverse the direction of the inequality sign and
\n" ); document.write( "make the inequality read:
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\n" ); document.write( "-3 > -5
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\n" ); document.write( "Hope this helps you to see the reason the statement you were given is false.
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